Did the fuse actually blow? Is the washer pump a part of the wiper moter assembly? Are all the connections clean and tight? Are you handy? If the fuse blew, then there is a problem with the wiper transmission (seized or stuck on something) or the motor is seized or shorted out. If the fuse is blown, there will be a black residue and the internal part is broken. The motor will need to be replaced or the trasnmission (not too hard to fix) unsiezed to make it work.
Other things to check before replacing the wiper motor are making sure there is a good ground to the entire piece. This sounds like the problem to me. How to check? Unbolt the motor, clean and switch the bolts around. Sometimes the space between the motor and gear part gets corroded enough to kill the ground and stop it from working. Sometimes you can use a sheet metal screw between the parts or even take it apart slightly to clean this up and hopefully get it working again. Be careful as the brushes could come out doing this. These kind of failures are very common in 1990's GM trucks, buy the way. If you have a test light or multimeter, these could come in handy in checking for proper ground. Good luck.
The most common cause that windshield wipers stop working is a blown fuse. The windshield wiper motor may need to be changed is also common.
Windshield wipers don't work
Windshield wipers are an important safety feature on cars. They stop working when their motor goes out, or when the blade is too worn out.
A bad fuse may be the cause of windshield wipers not working on a 1998 Lumina. The switch that activates the wiper motor is another possible cause for the wipers not working.
If the motor is turning, but the wipers are not moving, then you have a broken or disconnected linkage.
If your windshield wipers are not working, you should check your owners manual. It could be a fuse or another easy fix.
Fuse or windshield wiper motor.
your windshield wiper motor might burnt out or a fuse might burnt out
Generally, if the motor is working on windshield wipers, the problem is electrical. Check the fuses and the wiring to see if something needs replaced.
A cars windshield wipers should work either way. They should word with or without wiper fluid.
Why are there windshield wipers inside the car?
Wiper motor is not working properly or the combination switch in the steering column is not working properly which is the lever that turns the wipers on.